What is 2(-3)^2+8(-3)-2 ?

The solution to 2(-3)^2+8(-3)-2 is -8

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2(-3)^2+8(-3)-2

2 (- 3)^{2} + 8 (- 3) - 2

- 8

Solution steps

2 (- 3)^{2} + 8 (- 3) - 2

Follow the PEMDAS order of operations

Calculate exponents

(- 3)^{2} : 9

(- 3)^{2}

Apply exponent rule:

(- a)^{n} = a^{n},

n

is even

(- 3)^{2} = 3^{2} = 9

= 9

= 2 \cdot 9 + 8 (- 3) - 2

Multiply and divide (left to right)

2 \cdot 9 : 18

2 \cdot 9

2 \cdot 9 = 18

= 18

= 18 + 8 (- 3) - 2

Multiply and divide (left to right)

8 (- 3) : - 24

8 (- 3)

Apply rule

a \cdot (- b) = - a \cdot b

8 (- 3) = - 8 \cdot 3 = - 24

= - 24

= 18 - 24 - 2

Add and subtract (left to right)

18 - 24 - 2 : - 8

18 - 24 - 2

18 - 24 = - 6

= - 6 - 2

- 6 - 2 = - 8

= - 8

= - 8

[(80 - 8) \div 8] \times 3

\frac{1}{2} (10 + 7) \times 2

28 \times \frac{17}{56} \times (- \frac{14}{5})

115 - 42 - 37

(24 - 16) \times 5